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Finding the Third Proportional to 13.14 and 28.06

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Solution

The third proportional to 13.14 and 28.06 is: 59.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 28.06 = 28.06 : x
  2. Step 2: Convert to fraction form
    13.14/28.06 = 28.06/x
  3. Step 3: Cross multiply
    13.14x = 28.06 × 28.06
  4. Step 4: Simplify right side
    13.14x = 787.50
  5. Step 5: Solve for x
    x = 787.50/13.14
  6. Step 6: Final answer
    x = 59.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.